FergusG454386 FergusG454386
  • 03-11-2022
  • Mathematics
contestada

the measure of an interior angle of a regular polygon is given find the number of sides in the polygon

Respuesta :

ChrissM83178 ChrissM83178
  • 03-11-2022

EXPLANATION.

1.Find the number of sides in the polygon with an interior angle of 160 degrees.

The exercise is as follows:

[tex]\begin{gathered} 160n=(n-2)\times180 \\ 160n=(180\times n)-(180\times2) \\ 160n=180n-360 \\ 160n-180n=-360 \\ -20n=-360 \\ n=\frac{-360}{-20} \\ n=18, \\ \text{the answer is 18 sides } \end{gathered}[/tex]

Answer Link

Otras preguntas

Which of the following novels most closely resembles Brave New World? A.) The Hunger Games B.) Utopia C.) Nineteen Eighty-Four D.) The Tempest
Expression for: 9 less than twice r is written asA. 9-2rB. 2r-9C. 2r +9D. r-9​
PLZZZZZZZZZZZZ help I was up all night finishing homework so can someone please help me answer this one question plz and thank you:).
how are cheek and skin cells different?
what is the best choice for value y?
PLEASE HELP MEEEEEEEEEEEEE
In what ways do we negotiate our own identities through communication?
¿Por qué cree el rey que el dos es el número de la vida? ¿De qué manera se relaciona con la minusvalía de la princesa?
how many parts to a virus? 1 2 3 4
please help!! 40 points . if you guess or just comment to take points i will make sure your account gets banned, thanks! i want a small simple explanation.